Straight Enough Lines
Geometry
Level
4
External angle bisectors of Angle B and Angle C are y = x and y = -2x respectively. If vertex A is (1 , 3) then find the co-ordinates of the incentre of the triangle .
(-1/2 , 1)
(1 , 1)
(1/2 , 3/2 )
(0, 0)
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Two external bisectors meet at I A ( 0 , 0 ) . I w i l l b e o n I A A . ∴ Y I A A = 3 X . O u t o f g i v e n p o i n t s o n l y ( 1 / 2 , 3 / 2 ) i s o n Y I A A = 3 X .